Jane wants to estimate the proportion of students on her campus who eat cauliflower. after surveying 35 students, she finds 4 who eat cauliflower. obtain and interpret a 95 % confidence interval for the proportion of students who eat cauliflower on jane's campus using agresti and coull's method.

The mean proportion is p = 4/35 = 0.1143, q = 1 - p = 0.8857, and sample of n = 35.

For a 95% CI, z = + / - 1.96

The Agresti-Coull method is as follows:

Limits = [p + (z^2 / 2n) + z*sqrt (pq/n + z^2 / 4n^2) ] / (1 + z^2 / n)

Using this formula, the lower limit is 0.0454, while the upper limit is 0.2595.